Optimal slicing of free-form surfaces

Computer Aided Geometric Design

Volumn 19, Issue 1, 2002, Pages 43-64

  Smith, Tait S ^a   Farouki, Rida T ^a   Al Kandari, Mohammad ^a   Pottmann, Helmut ^b  

^a Davis   (United States)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Contour machining; Free form surface; Gauss map; Medial axis transform; Planar slicing; Scallop height; Stereographic projection; Surface normal

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; LASER APPLICATIONS; MAPPING; OPTIMIZATION; PROBLEM SOLVING; RAPID PROTOTYPING; SCANNING;

LASER SCANNERS; OPTIMAL SLICING;

COMPUTER AIDED DESIGN;

EID: 0036140952     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(01)00088-7     Document Type: Article

References (27)

1. Offset surface generation and contouring in computer-aided design
2. Computational geometry on the sphere with application to automated machining
3. Mathematical theory of medial axis transform
4. New algorithm for medial axis transform of plane domain
5. Cone visibility decomposition of free-form surfaces
6. The approximation of non-degenerate offset surfaces
7. On the numerical condition of polynomials in Bernstein form
8. Algorithms for polynomials in Bernstein form
9. Contour machining of free-form surfaces with real-time PH curve interpolators
10. Spherical maps: Construction, properties, and approximation
11. Effect of cutter mark on surface roughness and scallop height in sculptured surface machining
12. Bounds on a polynomial
13. Medial axis transformation of a planar shape
14. Voronoi diagram and medial axis algorithm for planar domains with curved boundaries I, Theoretical foundations
15. Voronoi diagram and medial axis algorithm for planar domains with curved boundaries II, Detailed algorithm description
16. Differential and topological properties of medial axis transforms
17. Gauss map computation for free-form surfaces
18. Visibility maps and spherical algorithms